Practical Applied Mathematics: Modelling, Analysis, Approximation

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Overview

Drawing from an exhaustive variety of mathematical subjects, including real and complex analysis, fluid mechanics and asymptotics, this book demonstrates how mathematics can be intelligently applied within the specific context to a wide range of industrial uses. The volume is directed to undergraduate and graduate students.
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Editorial Reviews

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"The book is extremely pleasant to read, flowing easily through and between topics while still containing significant content. The structure includes frequent use of footnotes and notes in the margin which are a clean way of including some detailed, technical information without breaking up the overall discussion. In addition to the exposition, the exercises provide an equally valuable component of this book."
Rachel Kuske University of British Columbia
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Product Details

Table of Contents

Part I. Modelling Techniques: 1. The basics of modelling; 2. Units, dimensions and dimensional analysis; 3. Non-dimensionalisation; 4. Case studies: hair modelling and cable laying; 5. Case study: the thermistor (1); 6. Case study: electrostatic painting (1); Part II. Mathematical Techniques: 7. Partial differential equations; 8. Case study: traffic modelling; 9. Distributions; 10. Theory of distributions; 11. Case study: the pantograph; Part III. Asymptotic techniques: 12. Asymptotic expansions; 13. Regular perturbation expansions; 14. Case study: electrostatic painting (2); 15. Case study: piano tuning; 16. Boundary layers; 17. Case study: the thermistor (2); 18. 'Lubrication theory' analysis; 19. Case study: continuous casting of steel; 20. Lubrication theory for fluids; 21. Case study: eggs; 22. Methods for oscillators; 23. Ray theory and other 'exponential' approaches.
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